Choose the like terms: 2l,2,l

The cost c, to produce b baseball bats per day is modeled by the function c(b)=0.06b^2 - 7.2b + 390. What number of bats should

Finger [1]

You have two choices.
The minimum possible cost to operate your bat factory for a day is $390,
and there are two quantities of bats that both cost that much.

One possibility:
   Produce no bats at all per day. Zero. Nada. None.
   Cost = 0.06(0)² - 7.2(0) + 390 = $390 per day.

The other choice:
   Produce 120 bats per day.
   Cost = 0.06(120²) - 7.2(120) + 390
      = 0.06(14,400) - 7.2(120) + 390
= 864 - 864 + 390
= $390 per day.

If you produce any other number of bats in a day ... more than zero
but not 120 ... then it will cost you more than $390 to operate the factory
that day.

8 0

2 years ago

What is the next term in the sequence below?

andreyandreev [35.5K]

Answer: Option a.

Step-by-step explanation:

1. The sequence shown in the problem is a Geometric sequence, because it has a common ratio. This means that when you multiply one of those numbers by the common ratio, you obtain the next number.

2. Then, you can calculate the common ratio as following:

$r=\frac{108}{-324}=-\frac{1}{3}$

3. Therefor, the next term is:

$(12)(-\frac{1}{3})=-4$

7 0

2 years ago

Read 2 more answers

Danika signs up to work for 3 1/2 hours at the science fair. If each work shift is 3/4 hour, how many shifts will Danika work?

forsale [732]

namely, how many times does 3/4 go into 3½? Let's firstly convert the mixed fraction to improper fraction.

$\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\div \cfrac{3}{4}\implies \cfrac{7}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{3}\implies \cfrac{14}{3}\implies 4\frac{2}{3}$

5 0

2 years ago

Read 2 more answers

What is (-3)x(5-7)-9(39/3)

Orlov [11]

Answer:-111

Step-by-step explanation:

3 0

2 years ago

Find the center and radius of x^2 – 18x + y^2 -10y = -6. part two write x2 – 18x + y2 -10y = -6 in standard form

Aleks04 [339]

Answer:

see explanation

Step-by-step explanation:

I will begin with part two, first.

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

Given

x² - 18x + y² - 10y = - 6

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is

(x - 9)² + (y - 5)² = 100 ← in standard form

with centre = (9, 5 ) and r = $\sqrt{100}$ = 10

4 0

2 years ago